Murphy
Eoin
Eoin Murphy
Carr
Hamish
Hamish Carr
2011
Visualization depends among other things on the interpolant used in generating images. One way to assess this is to construct case tables for Marching Cubes that represent the chosen interpolant accuracy. Instead, we show how to construct the interpolants induced by Marching Cases for comparison and assessment, how to extend this approach to Marching Squares, Cubes and Hypercubes, and how to construct an interpolant which is computationally equivalent to the digital rules conventionally used in image processing. Furthermore, we demonstrate that unlike tetrahedral meshes, geometric measurements over multi-linear mesh cells are inherently non-linear and cannot be summed as in the Contour Spectrum.
eng
Computer Science, 000 Computer science, knowledge, general works
Interpolants Induced by Marching Cases
Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany